Prime p₀= 262711749360624071 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 118 2 52 2 16 2 28 2 (?)
a_n: 0 2 6 8 126 128 180 182 198 200 228 230
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 230
Found by: Vitalii Koshura
db: batch=69, k=12, 4 118 52 16 28

SPT(14)	262711703788253899	0 34 58 100 112 132 154 168 190 210 222 264 288 322	-45572370172
SPT(14)	262711708504054223	0 56 96 98 110 144 200 204 260 294 306 308 348 404	-40856569848
SPT(14)	262711720837430581	0 6 12 22 30 58 70 78 90 118 126 136 142 148	-28523193490
TPT(12)	262711729380611051	0 2 30 32 36 38 78 80 90 92 168 170	-19980013020
SPT(14)	262711729948528589	0 54 60 84 98 114 158 204 248 264 278 302 308 362	-19412095482
SPT(14)	262711742042621737	0 10 24 42 52 64 76 120 132 144 154 172 186 196	-7318002334
SPT(14)	262711750801107019	0 10 18 34 90 100 124 144 168 178 234 250 258 268	1440482948
SPT(14)	262711754454598901	0 8 36 50 62 138 152 156 170 246 258 272 300 308	5093974830
SPT(16)	262711764620700173	0 6 38 50 56 108 120 146 150 176 188 240 246 258 290 296	15260076102
TPT(12)	262711766081873039	0 2 42 44 180 182 192 194 198 200 330 332	16721248968
SPT(14)	262711783687616233	0 6 24 28 60 64 66 88 90 94 126 130 148 154	34326992162